Possible heights of graph transformation groups

Fatemah Ayatollah Zadeh Shirazi, Arezoo Hosseini, Zahra Nili Ahmadabadi

In the following text we prove that for all finite $p\ge 0$ there exists a topological graph $X$ such that $\{p,p+1,p+2,\dots \}\cup \{+\infty \}$ is the collection of all possible h…